Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400be |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5921302500000000 = 28 · 38 · 510 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-427575,107549750] |
[a1,a2,a3,a4,a6] |
j |
2964647793616/2030625 |
j-invariant |
L |
1.6870632533524 |
L(r)(E,1)/r! |
Ω |
0.42176581649337 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34200z2 22800a2 13680g2 |
Quadratic twists by: -4 -3 5 |